Questions

Are rotational and translational kinetic energy the same?

Are rotational and translational kinetic energy the same?

The only difference between rotational and translational kinetic energy is that translational is straight line motion while rotational is not. An example of both kinetic and translational kinetic energy is found in a bike tire while being ridden down a bike path.

Can we change kinetic energy of a system without changing its momentum?

(a) Can kinetic energy of a system be changed without changing its momentum? (a) Yes, For example, when a bomb explodes linear momentum is conserved, but KE changes.

How could you increase the kinetic energy of an object in motion without changing its mass?

Alternatively, you can increase kinetic energy by increasing the angular velocity, which means simply increasing the speed at which the object rotates around the center of rotation.

How do you solve translational kinetic energy?

Recall that translational kinetic energy is given by the product of the mass of the object and the square of the objects linear velocity (about its center of mass) and dividing the result by two.

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Which of the following statement is correct kinetic energy can be changed without changing its momentum?

(d) A system cannot have energy without having momentum. In the explosion of a bomb or inelastic collision between two bodies as force is internal, momentum is conserved while KE changes. Hence, the KE of a system can be changed without changing its momentum.

Can kinetic energy be changed?

Kinetic energy can be stored. We know that energy is conserved, i.e., it cannot be created or destroyed; it can only be converted from one form to another. In these two cases, the kinetic energy is converted to potential energy because while it is not actually doing work, it has the potential to do work.

Which is bigger translational kinetic energy or rotational kinetic?

The ratio of the translational to the rotational kinetic energy is Etrans/Erot = mr2/I. If two rolling object have the same total kinetic energy, then the object with the smaller moment of inertia has the larger translational kinetic energy and the larger speed.